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Number

43

43 is a prime, odd, a calendar year.

43 (forty-three) is an odd 2-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is XLIII and in binary, 101011.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Jacobsthal Number Left-Truncatable Prime Preferred Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Wagstaff Prime Year

Interestingness

12 notable facts · grade A
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Historical context — 43 AD

Calendar year

AD 43 (XLIII) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 43 BC

Calendar year

Year 43 BC was either a common year starting on Sunday, Monday or Tuesday or a leap year starting on Sunday or Monday of the Julian calendar and a common year starting on Monday of the Proleptic Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 43
Ended on
Thursday
December 31, 43
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
40s
40–49
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,983
1983 years before 2026.

In other calendars

Hebrew
3803 / 3804 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
586 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
35 / 36 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-35 / -36 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
7
Digit product
12
Digital root
7
Palindrome
No
Bit width
6 bits
Reversed
34
Recamán's sequence
a(18) = 43
Square (n²)
1,849
Cube (n³)
79,507
Divisor count
2
σ(n) — sum of divisors
44
φ(n) — Euler's totient
42

Primality

43 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 43
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 43)
1 × 43
First multiples
43 · 86 (double) · 129 · 172 · 215 · 258 · 301 · 344 · 387 · 430

Sums & aliquot sequence

As consecutive integers: 21 + 22

Continued fraction of √n

√43 = [6; (1, 1, 3, 1, 5, 1, 3, 1, 1, 12)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
forty-three
Ordinal
43rd
Roman numeral
XLIII
Binary
101011
Octal
53
Hexadecimal
0x2B
Base64
Kw==
One's complement
212 (8-bit)
Scientific notation
4.3 × 10¹
In other bases
ternary (3) 1121
quaternary (4) 223
quinary (5) 133
senary (6) 111
septenary (7) 61
nonary (9) 47
undecimal (11) 3a
duodecimal (12) 37
tridecimal (13) 34
tetradecimal (14) 31
pentadecimal (15) 2d
Palindromic in base 6

As an angle

43°
43° ≈ 0.75 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
μγʹ
Mayan (base 20)
𝋢·𝋣
Chinese
四十三
Chinese (financial)
肆拾參
In other modern scripts
Eastern Arabic ٤٣ Devanagari ४३ Bengali ৪৩ Tamil ௪௩ Thai ๔๓ Tibetan ༤༣ Khmer ៤៣ Lao ໔໓ Burmese ၄၃

Digit at this position in famous constants

π — Pi (π)
Digit 43 = 9
e — Euler's number (e)
Digit 43 = 7
φ — Golden ratio (φ)
Digit 43 = 9
√2 — Pythagoras's (√2)
Digit 43 = 1
ln 2 — Natural log of 2
Digit 43 = 0
γ — Euler-Mascheroni (γ)
Digit 43 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 41 (gap of 2)
  • Next prime: 47 (gap of 4)

Pair status: twin with 41, cousin with 47.

ASCII character

As an ASCII codepoint, 43 is +. Printable ASCII character +.

Hex color
#00002B
RGB(0, 0, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.43.

Address
0.0.0.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.43

Unspecified address (0.0.0.0/8) — "this network" placeholder.

US numbered highway

Matches numbered highway designation:

  • I-43 — Beloit to Green Bay, WI.
Musical pitch

Heard as a frequency, 43 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F1 (43.7 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): F1 (42.7 Hz, +12¢)
  • Baroque pitch (A4 = 415 Hz): F♯1 (43.6 Hz, -25¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 43 is G2 (98 Hz at concert pitch). (very low — many laptop and phone speakers can't reproduce it)

Atomic number

On the periodic table, atomic number 43 is Technetium (Tc) — period 5.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.